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goldenfox [79]
3 years ago
13

current Law requires that wheelchair ramps have a height to length ratio of 1: 12 and old ramp has a height to length ratio of 2

: 21 its height is 8 inches workers replace this ramp with a new one that has the same height how much longer must a new ramp be to meet the ramp ratio required by law?
Mathematics
1 answer:
deff fn [24]3 years ago
5 0
Must be 12 inches longer it was 84 inches 4x21 it needs to be 96 inches 8x12 96-84 is 12
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What is the factored form of the function f(x)=x^3+8x^2+5x−50?
Inga [223]

Answer:

the factors of  f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)

Step-by-step explanation:

We need to factorise the function f(x)=x^3+8x^2+5x-50

If a number is a factor of this function than it must be completely divisible by last co-efficient. Our last co-efficient is -50

Checking few numbers:

f(1)=(1)^{3}+8(1)^2+5(1)-50\\f(1)=1+8+5-50\\f(1)=-32\\Now \ putting \ x= 2 \\f(2)=(2)^{3}+8(2)^2+5(2)-50\\f(2)=8+8(4)+10-50\\f(2)=8+32+10-50\\f(2)=0

So, f(2)=0 which means x-2 is a factor of the given function. Now we will perform long division of x^3+8x^2+5x-50 by (x-2) to find other factors

The long division is shown in figure attached.

After long division we get: x^2+10x+25

The equation x^2+10x+25 can be further simplified as: (x+5)(x+5) or (x+5)^2

So, the factors of  f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)

3 0
3 years ago
I need help what is -0.5 _ -0.2​
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-0.5 < -0.2,
because I need more characters
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Please help :30 points ​
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add up all the numbers, then divide by how many numbers there are.

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